Zeros of orthogonal polynomials and special functions and inequalities of Markov type

• Grant number: 16/10357-1
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: September 02, 2016
• End date: October 01, 2016
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Dimitar Kolev Dimitrov
• Grantee: Dimitar Kolev Dimitrov
• Visiting researcher: Geno Petrov Nikolov
• Visiting researcher institution: Sofia University St. Kliment Ohridski, Bulgaria
• Host Institution: Instituto de Biociências, Letras e Ciências Exatas (IBILCE). Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. São José do Rio Preto , SP, Brazil

Abstract

Throughout the years, zeros of orthogonal polynomials and special functions have been a topic of permanent interest. We shall study their relation to the Markov-type inequalities in L2-norms. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

DIMITROV, DIMITAR K.; NIKOLOV, GENO P.. A discrete weighted Markov-Bernstein inequality for sequences and polynomials. Journal of Mathematical Analysis and Applications, v. 493, n. 1, JAN 1 2021. (16/10357-1, 16/09906-0)

DIMITROV, DIMITAR K.; GADJEV, IVAN; NIKOLOV, GENO; ULUCHEV, RUMEN. HARDY'S INEQUALITIES IN FINITE DIMENSIONAL HILBERT SPACES. Proceedings of the American Mathematical Society, v. 149, n. 6, p. 15-pg., 2021-06-01. (16/10357-1, 16/09906-0)